It's soooooooo much easier to capo the 1st fret and play it E. Then that awkward Ab becomes a G and you just move the bass note up on the D string (ie Eb E F) Follow the same pattern when you change to C.
Also the awkward Bb becomes A.
Play the Db as a C7 shape in the 2nd position.
Happy strummin' (+ try to catch the BBC series of the same name -it's fab!)